Multiple choice

Find the number of real roots in the equation , $\displaystyle 4{ x }^{ 2 }+3x+5=0$

  1. $0$
  2. $1$
  3. $2$

  4. None
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For 4x^2 + 3x + 5 = 0, the discriminant is b^2 - 4ac = 3^2 - 4(4)(5) = -71. A negative discriminant means the equation has no real roots, so the number of real roots is 0.

AI explanation

We calculate the discriminant of the quadratic equation using the formula D = b^2 - 4ac. Substituting the coefficients from 4x^2 + 3x + 5 = 0 gives D = 3^2 - 4(4)(5) = 9 - 80 = -71. Since the discriminant is negative, the equation has zero real roots.

Keep practicing — related questions